Upload
neal-jacobs
View
212
Download
0
Embed Size (px)
Citation preview
5-5 Roots of Real Numbers
Objective: Students will be able to simplify
radicals.
What is a square root?• A square root is one of two equal factors of a
number.– For example, the square roots of 49 are both 7 and -7.
– In the above example, 7 is what is known as the principal square root (the nonnegative root when there is more than one real root).
• We can also find other roots of numbers, such as cubed roots, fourth roots, fifth roots, or nth roots.
Terminology
• Index: tells us what root we are looking for• Radicand: term underneath the radical sign
• Let’s start by simplifying some quick examples.
• When finding roots of variables, simply divide the exponent on the variable by the index.
• Examples:
• Now let’s work through some examples.
Simplify.1) 2) 3)
4) 5) 6)
Try these.7) 8) 9)
10) 11) 12)